With Marvel Studios branching out its Cinematic Universe onto the small screen with Agents of S.H.I.E.L.D. and the upcoming Netflix miniseries, and Warner Bros. seemingly stepping up its DC Comics superhero ambitions with Batman vs. Superman alongside a range of TV offerings, there’s been plenty of speculation as to whether DC’s big and small screen properties will exist inside one cohesive universe.

Arrow star Stephen Amell has hinted at the possibility of his version of Green Arrow lining up alongside Henry Cavill’s Superman and Ben Affleck’s Batman in the inevitable Justice League movie, while Grant Gustin’s upcoming TV debut as Barry Allen / The Flash has led to speculation that he could be set to cameo in 2015’s Man of Steel sequel or even headline his own Flash movie in 2016. Well, according to Arrow executive producer that’s not the case:

“We haven’t had any of those conversations other than to say, what characters are we allowed to use this year and advocate or request certain ones that are of interest to us,” Berlanti tells Fandango. “And every now and then, they’ll say, ‘You can’t have that guy.’ They don’t say why, and we figure out why later on.”

So, there you have it – don’t expect any crossover between the DC Cinematic Universe and Warner’s various television projects, which also includes the planned series Constantine, Hourman and Gotham, focussing on Jim Gordon in a pre-Batman Gotham City.